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arXiv · 2203.16403

The Secret Hyperbolic Life of Positive Scalar Curvature

Joachim Lohkamp
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Abstract

This survey introduces to the hyperbolic unfolding correspondence that links the geometric analysis of minimal hypersurfaces with that of Gromov hyperbolic spaces. Problems caused from hypersurface singularities oftentimes become solvable on associated Gromov hyperbolic spaces. Applied to scalar curvature geometry this yields smoothing schemes that eliminate such singularities.

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Joachim Lohkamp. 2022-03-30. The Secret Hyperbolic Life of Positive Scalar Curvature. https://arxiv.org/abs/2203.16403

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